Question

If a pendulum oscillates 360 times in 3 minutes what is it's time period​

Answer 1

`{ \rm{T = (1)/(f) }} \\`

• T is the period ( time for one oscillation )

• f is the frequency. But :

`{ \boxed{ \tt{f = (n)/(t) }}} \\`

• n is the number of oscillations.

• t is the time taken at given number of oscillations.

→ Therefore:

`{ \rm{T = (1)/(( (n)/(t)) ) }} \\ \\ { \rm{T = (t)/(n) }}`

• substitute:

`{ \rm{T = (3 * 60)/(360) }} \\ \\ { \rm{T = 0.5 \: seconds}}`

Period is 0.5 seconds

Answer 2

• 3minutes=3(60)=180s
• Oscillations=360

`\\ \sf\longmapsto Time\:Period=(180)/(360)`

`\\ \sf\longmapsto Time\:Period=0.5s`